Algebra 2 Honors Project

Algebra 2 Honors

Part 3

I think the flaw in this testing process was that the sample population was too small, only 40. Also, none of the groups should be told what to expect.

Part 2

Since the differences between the groups that were told and the groups that were not told is only 1. So it does not seem to affect it as much as expected to.

Part 1

Task 3

Group A Group B Group C Group D Total

No Results 6 7 5 4 22

Saw Results 4 3 5 6 18

Total 10 10 10 10 40

Part 2

Part 1

Part 1 (c0ntinued)

There are 32,760 possible to choose the research board. I used the permutation formula since only one person can be chosen per position( 15P4 ) and 32,760 was the result.

The probability of each group is s below:

Group A (results) = 15%

Group A (no results)= 10%

Group B (results) = 17.5%

Group B(no results) = 7.5%

Group C (results) = 12.5%

Group C (no results) = 12.5%

Group D (results) = 10%

Group D ( no results) = 15%

Task 2

Since only 65% of the people who were given the Power pill saw results, I think the numbers are not high enough to justify production and distribution of the drug. I think the research team should do another test.

Task 1

The study participants were divided into four groups—two groups received the Power Pill (Group A and Group B) and two groups received a placebo (Group C and Group D). The effects of the Power Pill were measured. One group that received the Power Pill (Group A) and one group that received the placebo (Group C) were told of the anticipated effects of the Power Pill—accelerated hair growth—while the other two groups (Group B and Group D) were not provided with this information. All four groups were told to monitor and report any physical changes during the study.

Results were reported and participants were grouped as to either “Saw Results,” meaning that participants reported increased hair growth as part of physical changes during the study, or “No Results,” meaning that increased hair growth was not mentioned as part of physical changes during study.

Results are as follows:

•6 in Group A saw results.

•7 in Group B saw results.

•5 in Group C saw results.

•4 in Group D saw results.

Part 2

Based on the results, 65% of volunteers that received the Power Pill saw results.

(13/14)/(20/40)=13/20 = 65%

And 45% of volunteers who received the placebo saw results.

(9/40)/(20/40)= 9/20 = 45%

The first task of the Segment Two Honors Project is to select the Power Pill study participants’ groups and research board officers.

Part 3

Part 1

There are 847,660,528 possible ways to select the participants (40C10). I chose to use Combinations to find this answer because the order doesn't matter.

Based on the results, about 62%of volunteers who received placebo, showed no improvement.

(11/40)/(18/40)=11/18=62%

And about 35% of volunteers who took the Power Pill did not see results.

(7/40)/(20/40)=7/20=35%